Precision…..........or accuracy?
Most mobile phone chips can't resolve gps signals to a 3m accuracy even in ideal conditions, irrespective of whether the algorithm used reports to a 10 figure precision (1m). The OS locate app does not provide 8 or 10 figure grid references because the OS didn't believe at the time of app development that mobile phone gps chips could provide an accuracy commensurate with a 8 figure (10m) precision. See thier FAQ page. I don't know if they have changed thier position
While no doubt technology has moved on since the app was developed, professional surveyors I know regard modern mobile phone gps chips/software to currently provide an accuracy or error of commonly +/- 5 to 30m, again in ideal conditions. So while W3W gives you a 3m location......in reality you are probably actually in an entirely different but nearby W3W location!